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Square Roots Approximating Between Perfect Square Roots (Level 4)

This math topic focuses on improving the ability to approximate and find the closest perfect square roots that lie above and below a given non-perfect square root value. The problems require identifying two numbers, one a perfect square less than and the other a perfect square more than the specified number. The skill being tested is crucial in understanding the properties and relationships between numbers, particularly in the context of squares and square roots at an advanced level.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Square Roots Approximating Between Perfect Square Roots

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the closest perfect square roots above and below the given square root

?<151<?\sqrt{?} < \sqrt{151} < \sqrt{?}

Square Roots Approximating Between Perfect Square Roots Worksheet

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Math worksheet on 'Square Roots Approximating Between Perfect Square Roots (Level 4)'. Part of a broader unit on 'Squares and Square Roots - Advanced' Learn online: app.mobius.academy/math/units/squares_and_square_roots_advanced/
1
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 132 < square root of ?
a
100, 144
b
123, 154
c
123, 142
d
121, 140
e
119, 144
f
121, 144
2
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 156 < square root of ?
a
140, 169
b
148, 179
c
140, 187
d
144, 169
e
140, 163
f
146, 175
3
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 138 < square root of ?
a
125, 138
b
123, 154
c
117, 156
d
117, 142
e
100, 144
f
121, 144
4
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 151 < square root of ?
a
148, 179
b
148, 185
c
144, 169
d
148, 161
e
144, 165
f
144, 196
5
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 159 < square root of ?
a
121, 169
b
144, 175
c
144, 169
d
144, 185
e
148, 167
f
148, 175
6
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 154 < square root of ?
a
140, 169
b
148, 163
c
144, 169
d
144, 196
e
146, 171
f
142, 169
7
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 161 < square root of ?
a
144, 165
b
144, 167
c
144, 169
d
144, 177
e
140, 169
f
142, 179